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Finding the Third Proportional to 427,854 and 665,181

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Solution

The third proportional to 427,854 and 665,181 is: 1,034,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,854 : 665,181 = 665,181 : x
  2. Step 2: Convert to fraction form
    427,854/665,181 = 665,181/x
  3. Step 3: Cross multiply
    427,854x = 665,181 × 665,181
  4. Step 4: Simplify right side
    427,854x = 442,465,762,761
  5. Step 5: Solve for x
    x = 442,465,762,761/427,854
  6. Step 6: Final answer
    x = 1,034,151.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.